Abstract
In this invited survey-cum-expository review article, we present a brief and comprehensive account of some general families of linear and bilinear generating functions which are associated with orthogonal polynomials and such other higher transcendental functions as (for example) hypergeometric functions and hypergeometric polynomials in one, two and more variables. Many of the results as well as the methods and techniques used for their derivations, which are presented here, are intended to provide incentive and motivation for further research on the subject investigated in this article.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference156 articles.
1. The Z-transform method for sequential fractional difference operators: Theoretical developments and applications of non-integer order systems;Girejko,2016
2. Applied Laplace Transforms and Z-transforms for Scientists and Engineers: A Computational Approach using a Mathematica Package;Graf,2004
3. Theory and Application of the z-Transform Method;Jury,1986
4. The z-Transform Analysis of Discrete Time Signals and Systems, Chapter 9 in Signals and Systems;Palani,2022
5. Special Functions in Queuing Theory and Related Stochastic Processes;Srivastava,1982
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献